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Self-normalized moderate deviations for independent random variables

✍ Scribed by BingYi Jing, HanYing Liang, Wang Zhou

Book ID: 118814028
Publisher: SP Science China Press
Year: 2012
Tongue: English
Weight: 296 KB
Volume: 55
Category: Article
ISSN: 1674-7283
DOI: 10.1007/s11425-012-4527-3

No coin nor oath required. For personal study only.

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The corresponding moderate deviation principle follows. The Central Limit theorem has been recently obtained by Pang, Lin and Hwang [T.X. Pang, Z.Y. Lin, K.S. Hwang, Asymptotics for self-normalized random products of sums of i.i.d. random variables, J. Math. Anal. Appl. 334 (2007) 1246-1259].